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(a)  ∠PQR = 180º – 60º – 60º = 60º         Sum of interior angles is 180º or equilateral triangle have all interior angles 60º  

(b)  ∠XYZ = (180º – ∠XZY) /2 = 60º       Triangle XYZ is  equilateral.

(c) XZ bisect ∠WXY = 60º  

∠WXZ = 60º /2 = 30º

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For b, is it always necessary that an isosceles triangle has to be equilateral if the interior angles are all at 60 degrees?

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Think if given a triangle is iscoseles and one of the angles is 60º will lead to the conclusiion that the triangle is equilateral.

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OK, I guess so.  Thank you so much!

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